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20102026
most citedGrowth of torsion groups of elliptic curves upon base change

38 citations · 186 across the 31 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 5 cited

An algorithm for determining torsion growth of elliptic curves

Enrique González-Jiménez, Filip Najman

We present a fast algorithm that takes as input an elliptic curve defined over and an integer and returns all the number fields of degree dividing such…

math.NT2019★ 21 cited

Elliptic Curves over Totally Real Cubic Fields are Modular

Maarten Derickx, Filip Najman, Samir Siksek

We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic…